Answer: option. y=-1.33x; 2.67
Solution:
If y varies directly with x, the relation between y and x is:
y=kx
where k is a constant of proporcionality.
We know y=8 when x=-6. Replacing these values in the equation above:
8=k(-6)
8=-6k
Solving for k: Dividing both sides of the equation by -6:
8/(-6)=-6k/(-6)
-1.33=k
k=-1.33
Then the relation between y and x is:
y=kx→y=-1.33x
What is the value of y when x=-2?
Replacing x by -2 in the formula:
y=-1.33x→y=-1.33(-2)→y=2.66
The height of the ramp above the ground from its highest end is 7.9 inches.
<h3>What is height?</h3>
Height is the vertical distance between two points.
To calculate the height of the ramp above the ground, we use the formula below.
Formula:
- h = Lsin∅............. Equation 1
Where:
- h = Height of the ramp above the ground
- L = Length of the fiberboard
- ∅ = Angle of elevation from the ground
From the question,
Given:
Substitute these values into equation 1
- h = 27×sin17°
- h = 7.89
- h ≈ 7.9 inches
Hence, the height of the ramp above the ground is 7.9 inches.
Learn more about height here: brainly.com/question/23144757
#SPJ1
There are no zeroes for an expression, only for equations.
Assuming equation to be
<span>−7x^2 − 91x − 280=0
-7(x^2+13x+40)=0
-7(x+8)(x+5)=0
by the zero product properties,
x+8=0 => x=-8
or
x+5=0 => x=-5</span>
<span><span>ab:ac=3:5
bd:cd=7:2
if cd is 5 cm then cd=2:5 then ab=3:x
2:5=3:x
15=2x
x=15/2
x=7.5 cm</span><span>
Happy studying! ^_^</span></span>
